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Stolb23 [73]
3 years ago
13

Look who’s back, back again. Can you help me?

Mathematics
2 answers:
Maksim231197 [3]3 years ago
7 0
Y=2x+8
Brainliest answer?

Neporo4naja [7]3 years ago
4 0

desmos is good for graphing problems

Step-by-step explanation:

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If g(x)=4x^2-16 we’re shifted 9 united to the right and 1 down, what would the new equation be?
Inessa05 [86]

Shown in the graph

<h2>Explanation:</h2>

Using graph tools we can graph the function:

g(x)=4x^2-16

which is the red graph shown below. As you can see, this is a parabola. The rule for vertical and horizontal shifts is as follows:

Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:

\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)

Therefore, If we shift the red graph 9 units to the right and 1 down, our new function (let's call it h(x)) will be:

h(x)=4\left(x-9\right)^{2}-16-1 \\ \\ Simplifying: \\ \\ h(x)=4\left(x-9\right)^{2}-17

This graph is the blue graph below. Let's verify the transformation taking the vertex of the red graph:

(0,-16)

By translating the 9 units to the right and 1 down the vertex is also translated by the same rule, so:

New \ vertex: \\ \\ (0+9,-16-1) \\ \\ (9,-17)

<h2>Learn more:</h2>

Cubic function: brainly.com/question/13773618#

#LearnWithBrainly

5 0
3 years ago
Two companies Company A and Company B offer the same starting salary of $20,000 per year. Company A gives a raise of $1000 each
Bingel [31]
A.) A = 20000 + 1000n
B = 20000(1.04)^n

b.) For A, sn = n/2(2a + (n - 1)d)
s20 = 20/2(2(20000) + 1000(20 - 1)) = 10(40000 + 19(1000)) = 10(40000 + 19000) = 10(59000) = $590,000
For B, sn = a(r^n - 1)/(r - 1)
s20 = 20000((1.04)^20 - 1)/(1.04 - 1) = 20000(2.191 - 1)/0.04 = 20000(1.191)/0.04 = 23822.46 / 0.04 = $595,561.57

c.) Using a graphing calculator, it takes 18 years for the
<span>total amount earned a company B is greater that the total amount of earned at company A.</span>
5 0
3 years ago
Can someone please help me with this
Ludmilka [50]

Answer:

-21

Step-by-step explanation: a negative times a positive will always be a negative

7 0
3 years ago
if the local rate for electrical service is 6cents per kilowatt-hour how much money would be saved in a year by using a dishwash
dezoksy [38]

Given:

The local rate for electrical service is 6 cents per kilowatt-hour.

We need to know how much money would be saved in a year by using a dishwasher 4times per week rather than 6 times per week ​

From the table:

The cost of using a dishwasher 4 times per week = $29

The cost of using a dishwasher 6 times per week = $44

So, the saving will be = 44 - 29 = 15

So, the answer will be $15

3 0
1 year ago
F(x) = x^2+3; g(x) = square root of x-2 find f(g(x))
Anettt [7]
F(g(x)) = x + 1 . Just replace square root of x-2 to x in f(x)
5 0
3 years ago
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